Question

A person can spend at most $12 on corn oil and cereal. A bottle of corn oil costs $3 and a box of cereal costs $2. Identify the inequality and the graph that describe the situation where x is the number of bottles of corn oil and y is the number of boxes of cereal.

Answer 1

The total amount spent on corn oil and cereal can be represented as the inequality: 3x + 2y ≤ 12. To graph this inequality, plot the points (0, 6), (2, 3), (4, 0), and shade the region below the line formed by connecting these points.

Step-by-step explanation:

The problem can be solved using inequalities. Let x represent the number of bottles of corn oil and y represent the number of boxes of cereal. Since a bottle of corn oil costs $3 and a box of cereal costs $2, the total amount spent on corn oil and cereal can be represented as an inequality: 3x + 2y ≤ 12. This inequality ensures that the total cost does not exceed $12. To graph this inequality, plot the points (0, 6), (2, 3), (4, 0), and shade the region below the line formed by connecting these points.